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2. There are 6 different datasets noted as A,B,C,D,E,F. Each dataset is clustered using two different methods, and one of them is K-means. All results are shown in Figure 2. Please determine which results more likely to be generated by K-means method. (Hint: check the state when K-means converges; Centers for each cluster have been noted as X; Since x and y axis are scaled proportionally, you can determine the distance to centers geometrically). The distance measure used here is the Euclidean distance. A1 C1 Application of k-means E1 A2 C2 E2 B1 D1 F1 Figure 2: Clustered Results for 6 datasets Dataset A (write A1 or A2, same in the following question); Dataset B Dataset C Dataset D Dataset E Dataset F B2 D2 F2

2. There are 6 different datasets noted as A,B,C,D,E,F. Each dataset is clustered using two different methods, and one of them is K-means. All results are shown in Figure 2. Please determine which results more likely to be generated by K-means method. (Hint: check the state when K-means converges; Centers for each cluster have been noted as X; Since x and y axis are scaled proportionally, you can determine the distance to centers geometrically). The distance measure used here is the Euclidean distance. A1 C1 Application of k-means E1 A2 C2 E2 B1 D1 F1 Figure 2: Clustered Results for 6 datasets Dataset A (write A1 or A2, same in the following question); Dataset B Dataset C Dataset D Dataset E Dataset F B2 D2 F2

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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# Application of k-means There are 6 different datasets noted as A, B, C, D, E, F. Each dataset is clustered using two different methods, and one of them is K-means. All results are shown in Figure 2. Please determine which results are more likely to be generated by the K-means method. (Hint: check the state when K-means converges; Centers for each cluster have been noted as X. Since x and y axes are scaled proportionally, you can determine the distance to centers geometrically). The distance measure used here is the Euclidean distance. ## Figure 2: Clustered Results for 6 Datasets - **A1 and A2**: Two visualizations for Dataset A, showing clusters with centers marked as X. - **B1 and B2**: Two visualizations for Dataset B, with clusters marked similarly. - **C1 and C2**: Dataset C is displayed with its clusters and centers. - **D1 and D2**: Clustering results for Dataset D are shown with centers. - **E1 and E2**: Two cluster visualizations for Dataset E, centers marked. - **F1 and F2**: Visualizations for Dataset F, exhibiting clusters and their centers. ## Task Identify which plot (e.g., A1 or A2) for each dataset (A, B, C, D, E, F) is more likely generated by the K-means method. - **Dataset A** (write A1 or A2) - **Dataset B** - **Dataset C** - **Dataset D** - **Dataset E** - **Dataset F**
Transcribed Image Text:# Application of k-means There are 6 different datasets noted as A, B, C, D, E, F. Each dataset is clustered using two different methods, and one of them is K-means. All results are shown in Figure 2. Please determine which results are more likely to be generated by the K-means method. (Hint: check the state when K-means converges; Centers for each cluster have been noted as X. Since x and y axes are scaled proportionally, you can determine the distance to centers geometrically). The distance measure used here is the Euclidean distance. ## Figure 2: Clustered Results for 6 Datasets - **A1 and A2**: Two visualizations for Dataset A, showing clusters with centers marked as X. - **B1 and B2**: Two visualizations for Dataset B, with clusters marked similarly. - **C1 and C2**: Dataset C is displayed with its clusters and centers. - **D1 and D2**: Clustering results for Dataset D are shown with centers. - **E1 and E2**: Two cluster visualizations for Dataset E, centers marked. - **F1 and F2**: Visualizations for Dataset F, exhibiting clusters and their centers. ## Task Identify which plot (e.g., A1 or A2) for each dataset (A, B, C, D, E, F) is more likely generated by the K-means method. - **Dataset A** (write A1 or A2) - **Dataset B** - **Dataset C** - **Dataset D** - **Dataset E** - **Dataset F**
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